Dynamics of an age-of-infection cholera model

Fred Brauer; Zhisheng Shuai; P. Van Den Driessche

doi:10.3934/mbe.2013.10.1335

Dynamics of an age-of-infection cholera model

Fred Brauer, Zhisheng Shuai, P. Van Den Driessche

Mathematical Computational Modeling Sciences Center, Simon A. Levin (MCMSC)

Research output: Contribution to journal › Article › peer-review

84 Scopus citations

Abstract

A new model for the dynamics of cholera is formulated that incorporates both the infection age of infectious individuals and biological age of pathogen in the environment. The basic reproduction number is defined and proved to be a sharp threshold determining whether or not cholera dies out. Final size relations for cholera outbreaks are derived for simplified models when input and death are neglected.

Original language	English (US)
Pages (from-to)	1335-1349
Number of pages	15
Journal	Mathematical Biosciences and Engineering
Volume	10
Issue number	5-6
DOIs	https://doi.org/10.3934/mbe.2013.10.1335
State	Published - Oct 2013

Keywords

Age-of-infection
Cholera model
Final size
Global stability
Lyapunov functional

ASJC Scopus subject areas

Modeling and Simulation
Agricultural and Biological Sciences(all)
Computational Mathematics
Applied Mathematics

Access to Document

10.3934/mbe.2013.10.1335

Cite this

@article{d469dd13698448b8a3e8ccd5b83fb949,

title = "Dynamics of an age-of-infection cholera model",

abstract = "A new model for the dynamics of cholera is formulated that incorporates both the infection age of infectious individuals and biological age of pathogen in the environment. The basic reproduction number is defined and proved to be a sharp threshold determining whether or not cholera dies out. Final size relations for cholera outbreaks are derived for simplified models when input and death are neglected.",

keywords = "Age-of-infection, Cholera model, Final size, Global stability, Lyapunov functional",

author = "Fred Brauer and Zhisheng Shuai and {Van Den Driessche}, P.",

year = "2013",

month = oct,

doi = "10.3934/mbe.2013.10.1335",

language = "English (US)",

volume = "10",

pages = "1335--1349",

journal = "Mathematical Biosciences and Engineering",

issn = "1547-1063",

publisher = "Arizona State University",

number = "5-6",

}

TY - JOUR

T1 - Dynamics of an age-of-infection cholera model

AU - Brauer, Fred

AU - Shuai, Zhisheng

AU - Van Den Driessche, P.

PY - 2013/10

Y1 - 2013/10

N2 - A new model for the dynamics of cholera is formulated that incorporates both the infection age of infectious individuals and biological age of pathogen in the environment. The basic reproduction number is defined and proved to be a sharp threshold determining whether or not cholera dies out. Final size relations for cholera outbreaks are derived for simplified models when input and death are neglected.

AB - A new model for the dynamics of cholera is formulated that incorporates both the infection age of infectious individuals and biological age of pathogen in the environment. The basic reproduction number is defined and proved to be a sharp threshold determining whether or not cholera dies out. Final size relations for cholera outbreaks are derived for simplified models when input and death are neglected.

KW - Age-of-infection

KW - Cholera model

KW - Final size

KW - Global stability

KW - Lyapunov functional

UR - http://www.scopus.com/inward/record.url?scp=84884495414&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84884495414&partnerID=8YFLogxK

U2 - 10.3934/mbe.2013.10.1335

DO - 10.3934/mbe.2013.10.1335

M3 - Article

C2 - 24245619

AN - SCOPUS:84884495414

SN - 1547-1063

VL - 10

SP - 1335

EP - 1349

JO - Mathematical Biosciences and Engineering

JF - Mathematical Biosciences and Engineering

IS - 5-6

ER -

Dynamics of an age-of-infection cholera model

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this